Open Access

Lévy-Dirichlet forms. II

Abstract

A Dirichlet form associated with the infinite dimensional symmetrized Levy-Laplace operator is constructed. It is shown that there exists a natural connection between this form and a Markov process. This correspondence is similar to that studied in a previous paper by the same authors for the non-symmetric Levy Laplacian.

Key words: Levy Laplacians, Dirichlet forms, symmetrized L´evy operator, diffusion processes.

Article Information

 Title Lévy-Dirichlet forms. II Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 4, 302-314 MathSciNet MR2279868 Copyright The Author(s) 2006 (CC BY-SA)

Authors Information

S. Albeverio
Institut fur Angewandte Mathematik, Universitat Bonn, Wegelerstr. 6, D-53115, Bonn, Germany; SFB 611, Bonn, Germany; BiBoS, Bielefeld, Germany; IZKS; CERFIM, Locarno, Switzerland; Accademia di Architettura, Mendrisio, Switzerland

Ya. Belopolskaya
St.~Petersburg State University for Architecture and Civil Engineering, 2-ja Krasnoarmejskaja 4, St. Petersburg, 198005, Russia

M. Feller
Malinovskogo 11, ap.~399, Kyiv, 04212, Ukraine

Citation Example

S. Albeverio, Ya. Belopolskaya, and M. Feller, Lévy-Dirichlet forms. II, Methods Funct. Anal. Topology 12 (2006), no. 4, 302-314.

BibTex

@article {MFAT376,
AUTHOR = {Albeverio, S. and Belopolskaya, Ya. and Feller, M.},
TITLE = {Lévy-Dirichlet forms. II},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {4},
PAGES = {302-314},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=376},
}